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Finding the Fourth Proportional to 469,865.86, 648,302.56 and 286,102.27

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Solution

The fourth proportional to 469,865.86, 648,302.56 and 286,102.27 is: 394,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,865.86 : 648,302.56 = 286,102.27 : x
  2. Step 2: Convert to fraction form
    469,865.86/648,302.56 = 286,102.27/x
  3. Step 3: Cross multiply
    469,865.86x = 648,302.56 × 286,102.27
  4. Step 4: Simplify right side
    469,865.86x = 185,480,834,062.81
  5. Step 5: Solve for x
    x = 185,480,834,062.81/469,865.86
  6. Step 6: Final answer
    x = 394,752.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.